Being resilient

  • Cuboids
    problem

    Cuboids

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?

  • Make 37 Poster
    problem

    Make 37

    Age
    5 to 11
    Challenge level
    filled star filled star empty star

    Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?

  • Reflecting Squarely
    problem

    Reflecting squarely

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    In how many ways can you fit all three pieces together to make shapes with line symmetry?

  • Got It
    problem

    Got it

    Age
    7 to 14
    Challenge level
    filled star filled star empty star

    A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

  • Frogs
    problem

    Frogs

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    How many moves does it take to swap over some red and blue frogs? Do you have a method?
  • Triangles to Tetrahedra
    problem

    Triangles to tetrahedra

    Age
    11 to 14
    Challenge level
    filled star filled star filled star
    Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?
  • problem

    Factor lines

    Age
    7 to 14
    Challenge level
    filled star filled star empty star

    Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

  • Shopping Basket
    problem

    Shopping basket

    Age
    11 to 16
    Challenge level
    filled star filled star filled star

    The items in the shopping basket add and multiply to give the same amount. What could their prices be?

  • Reach 100
    problem

    Reach 100

    Age
    7 to 11
    Challenge level
    filled star filled star empty star

    Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

  • problem

    How many times?

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

    On a digital 24 hour clock, at certain times, all the digits are consecutive. How many times like this are there between midnight and 7 a.m.?